The topic of "Clock" is crucial for students preparing for various school and competitive exams. Understanding how to solve problems related to clocks can significantly enhance your performance in MCQs and objective questions. Practicing these questions not only helps in grasping the concepts but also boosts your confidence during exam preparation.
What You Will Practise Here
Understanding the basic concepts of time and clocks
Calculating angles between clock hands
Determining the time from given angles
Solving problems related to time intervals
Identifying the time taken for clock hands to meet
Exploring various types of clock-related problems
Reviewing important formulas and definitions related to clocks
Exam Relevance
The topic of clocks frequently appears in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that test their understanding of time calculations, angles, and the movement of clock hands. Common question patterns include finding the angle between the hands at a specific time or determining the time based on given angles, making it essential to master this topic for better exam performance.
Common Mistakes Students Make
Confusing the hour and minute hand movements
Miscalculating angles due to incorrect time interpretation
Overlooking the concept of time intervals
Failing to apply the correct formulas in problem-solving
FAQs
Question: What is the formula to calculate the angle between the hour and minute hand? Answer: The angle can be calculated using the formula: Angle = |(30*hour - (11/2)*minutes)|.
Question: How often do the hands of a clock overlap? Answer: The hands of a clock overlap 11 times in 12 hours.
Now that you understand the significance of the "Clock" topic, it’s time to put your knowledge to the test! Solve practice MCQs and important Clock questions for exams to solidify your understanding and excel in your studies.
Q. If a clock shows 9:15, what is the angle between the hour and minute hands?
A.
112.5 degrees
B.
90 degrees
C.
135 degrees
D.
75 degrees
Solution
At 9:15, the hour hand is at 97.5 degrees (9*30 + 15*0.5) and the minute hand is at 90 degrees (15*6). The angle between them is |97.5 - 90| = 7.5 degrees.
Q. If it is 2:30, what is the angle between the hour and minute hands?
A.
105 degrees
B.
120 degrees
C.
135 degrees
D.
150 degrees
Solution
At 2:30, the hour hand is at 75 degrees (2*30 + 30*0.5) and the minute hand is at 180 degrees (30*6). The angle between them is |75 - 180| = 105 degrees.
Q. If the minute hand is at 12 and the hour hand is at 4, what is the angle between them?
A.
120 degrees
B.
90 degrees
C.
60 degrees
D.
150 degrees
Solution
At 4:00, the hour hand is at 120 degrees (4 hours * 30 degrees) and the minute hand is at 0 degrees. The angle between them is |120 - 0| = 120 degrees.
Q. If the time is 1:50, what is the angle between the hour and minute hands?
A.
130 degrees
B.
140 degrees
C.
150 degrees
D.
160 degrees
Solution
At 1:50, the hour hand is at 95 degrees (1 hour * 30 degrees + 50 minutes * 0.5 degrees) and the minute hand is at 300 degrees (50 minutes * 6 degrees). The angle between them is |95 - 300| = 205 degrees.
Q. If the time is 2:30, what is the angle between the hour and minute hand?
A.
105 degrees
B.
120 degrees
C.
135 degrees
D.
150 degrees
Solution
At 2:30, the hour hand is at 75 degrees (2 hours * 30 degrees + 30 minutes * 0.5 degrees) and the minute hand is at 180 degrees (30 minutes * 6 degrees). The angle between them is |75 - 180| = 105 degrees.
Q. If the time is 2:30, what is the angle between the hour and minute hands?
A.
105 degrees
B.
120 degrees
C.
135 degrees
D.
150 degrees
Solution
At 2:30, the hour hand is at 75 degrees (2 hours * 30 degrees + 30 minutes * 0.5 degrees) and the minute hand is at 180 degrees (30 minutes * 6 degrees). The angle between them is |75 - 180| = 105 degrees.
Q. What is the angle between the hour and minute hand at 12:30?
A.
165 degrees
B.
180 degrees
C.
150 degrees
D.
135 degrees
Solution
At 12:30, the hour hand is at 165 degrees (12 hours * 30 degrees + 30 minutes * 0.5 degrees) and the minute hand is at 180 degrees (30 minutes * 6 degrees). The angle between them is |165 - 180| = 15 degrees.
Q. What is the angle between the hour and minute hand at 12:45?
A.
135 degrees
B.
150 degrees
C.
165 degrees
D.
180 degrees
Solution
At 12:45, the hour hand is at 337.5 degrees (12 hours * 30 degrees + 45 minutes * 0.5 degrees) and the minute hand is at 270 degrees (45 minutes * 6 degrees). The angle between them is |337.5 - 270| = 67.5 degrees.
Q. What is the angle between the hour and minute hand at 5:25?
A.
135 degrees
B.
150 degrees
C.
165 degrees
D.
180 degrees
Solution
At 5:25, the hour hand is at 162.5 degrees (5 hours * 30 degrees + 25 minutes * 0.5 degrees) and the minute hand is at 150 degrees (25 minutes * 6 degrees). The angle between them is |162.5 - 150| = 12.5 degrees.
Q. What is the angle between the hour and minute hands at 12:45?
A.
135 degrees
B.
150 degrees
C.
165 degrees
D.
180 degrees
Solution
At 12:45, the hour hand is at 337.5 degrees (12 hours * 30 degrees + 45 minutes * 0.5 degrees) and the minute hand is at 270 degrees (45 minutes * 6 degrees). The angle between them is |337.5 - 270| = 67.5 degrees.
Q. What is the angle between the hour and minute hands at 5:25?
A.
120 degrees
B.
130 degrees
C.
140 degrees
D.
150 degrees
Solution
At 5:25, the hour hand is at 162.5 degrees (5 hours * 30 degrees + 25 minutes * 0.5 degrees) and the minute hand is at 150 degrees (25 minutes * 6 degrees). The angle between them is |162.5 - 150| = 12.5 degrees.
Q. What is the angle between the hour hand and the minute hand at 12:30?
A.
165 degrees
B.
180 degrees
C.
150 degrees
D.
120 degrees
Solution
At 12:30, the hour hand is at 165 degrees (12*30 + 30*0.5) and the minute hand is at 180 degrees (30*6). The angle between them is |165 - 180| = 15 degrees.
